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5) Use the following table to answer the probability questions Waiting time Number of customers 0-3 14 4-7 9. 8-11 11 12-15 6. 16-19 7. 20-23 3 24-27 2 What is the probability of selecting a customer that waits in line at least 12 minut What is the probability of selecting a customer that waits at least 4 minutes? 99+

5) Use the following table to answer the probability questions Waiting time Number of customers 0-3 14 4-7 9. 8-11 11 12-15 6. 16-19 7. 20-23 3 24-27 2 What is the probability of selecting a customer that waits in line at least 12 minut What is the probability of selecting a customer that waits at least 4 minutes? 99+

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Probability Questions Based on Customer Waiting Times #### Table of Customer Waiting Times Below is a table that provides data on customer waiting times and the corresponding number of customers: | Waiting Time (minutes) | Number of Customers | |------------------------|---------------------| | 0-3 | 14 | | 4-7 | 9 | | 8-11 | 11 | | 12-15 | 6 | | 16-19 | 7 | | 20-23 | 3 | | 24-27 | 2 | #### Questions 1. **What is the probability of selecting a customer that waits in line at least 12 minutes?** 2. **What is the probability of selecting a customer that waits at least 4 minutes?** #### Explanation To determine the probabilities, we use the following steps: - Identify the total number of customers. - Sum the number of customers meeting the criteria. - Divide the sum of customers meeting the criteria by the total number of customers to calculate the probability. ##### Example Calculation 1. **Total number of customers:** - Sum the numbers in the "Number of Customers" column: \( 14 + 9 + 11 + 6 + 7 + 3 + 2 = 52 \) 2. **Probability of selecting a customer that waits in line at least 12 minutes:** - Sum the number of customers with waiting times from 12-27 minutes: \( 6 + 7 + 3 + 2 = 18 \) - Probability: \( \frac{18}{52} \approx 0.346 \) or 34.6% 3. **Probability of selecting a customer that waits at least 4 minutes:** - Sum the number of customers with waiting times from 4-27 minutes: \( 9 + 11 + 6 + 7 + 3 + 2 = 38 \) - Probability: \( \frac{38}{52} \approx 0.731 \) or 73.1% These calculations help in understanding the likelihood of various waiting times based on collected data.
Transcribed Image Text:### Probability Questions Based on Customer Waiting Times #### Table of Customer Waiting Times Below is a table that provides data on customer waiting times and the corresponding number of customers: | Waiting Time (minutes) | Number of Customers | |------------------------|---------------------| | 0-3 | 14 | | 4-7 | 9 | | 8-11 | 11 | | 12-15 | 6 | | 16-19 | 7 | | 20-23 | 3 | | 24-27 | 2 | #### Questions 1. **What is the probability of selecting a customer that waits in line at least 12 minutes?** 2. **What is the probability of selecting a customer that waits at least 4 minutes?** #### Explanation To determine the probabilities, we use the following steps: - Identify the total number of customers. - Sum the number of customers meeting the criteria. - Divide the sum of customers meeting the criteria by the total number of customers to calculate the probability. ##### Example Calculation 1. **Total number of customers:** - Sum the numbers in the "Number of Customers" column: \( 14 + 9 + 11 + 6 + 7 + 3 + 2 = 52 \) 2. **Probability of selecting a customer that waits in line at least 12 minutes:** - Sum the number of customers with waiting times from 12-27 minutes: \( 6 + 7 + 3 + 2 = 18 \) - Probability: \( \frac{18}{52} \approx 0.346 \) or 34.6% 3. **Probability of selecting a customer that waits at least 4 minutes:** - Sum the number of customers with waiting times from 4-27 minutes: \( 9 + 11 + 6 + 7 + 3 + 2 = 38 \) - Probability: \( \frac{38}{52} \approx 0.731 \) or 73.1% These calculations help in understanding the likelihood of various waiting times based on collected data.
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